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Finding the Fourth Proportional to 177,461.64, 244,808.70 and 105,791.16

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Solution

The fourth proportional to 177,461.64, 244,808.70 and 105,791.16 is: 145,939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,461.64 : 244,808.70 = 105,791.16 : x
  2. Step 2: Convert to fraction form
    177,461.64/244,808.70 = 105,791.16/x
  3. Step 3: Cross multiply
    177,461.64x = 244,808.70 × 105,791.16
  4. Step 4: Simplify right side
    177,461.64x = 25,898,596,351.09
  5. Step 5: Solve for x
    x = 25,898,596,351.09/177,461.64
  6. Step 6: Final answer
    x = 145,939.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.